factordbrpc · fdb
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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
below threshold 4 digits
↪
Term #1 of the Home prime · Base 5 sequence of 1001 · 2 terms
Term #1 of the Home prime · Base 6 sequence of 513 · 2 terms
Term #1 of the Inverse home prime · Base 5 sequence of 777 · 2 terms
Term #2 of the Home prime · Base 13 sequence of 93 · 3 terms
Term #1 of the Home prime · Base 20 sequence of 2893 · 2 terms
Term #1 of the Home prime · Base 25 sequence of 1001 · 2 terms
Term #1 of the Home prime · Base 28 sequence of 3715 · 2 terms
Term #1 of the Home prime · Base 30 sequence of 325 · 2 terms
Term #1 of the Aliquot variants · Quasi · σ(n) − n − 1 sequence of 3976 · 2 terms
Term #1 of the Inverse home prime · Base 20 sequence of 699 · 2 terms
Term #1 of the Inverse home prime · Base 34 sequence of 685 · 2 terms
Term #1 of the Conway climb · Base 5 sequence of 1001 · 2 terms
Term #1 of the Conway climb · Base 6 sequence of 3429 · 2 terms
Term #2 of the Conway climb · Base 13 sequence of 45 · 3 terms
Term #1 of the Conway climb · Base 20 sequence of 2893 · 2 terms
Term #1 of the Conway climb · Base 25 sequence of 1001 · 2 terms
Term #1 of the Conway climb · Base 28 sequence of 3715 · 2 terms
Term #1 of the Conway climb · Base 30 sequence of 815 · 2 terms
Term #3 of the Second-class home prime · Base 10 sequence of 4050 · 4 terms
Term #2 of the Second-class home prime · Base 16 sequence of 2090 · 3 terms
Term #1 of the Mid-divisor concatenation · Base 10 sequence of 2898 · 2 terms
Is factor of

Primality

Verified directlyproven prime

Checked deterministically (below 300 digits).

From the command linefdb · curl
fdb
fdb number '4663' --detail 2
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"expr":"4663"},"decimal":false,"detail":2}}'